(a) Consider the function f : Z → Z given by f(x)=\left\{\begin{array}{ll}

n+1, & \text { if } n \text { is even } \\

n-3, & \text { if } n \text { is odd }

\end{array}\right. i. Is ƒ injective? Prove your answer ii. Is f surjective? Prove your answer (b) The function f : R → R is defined as follows: f(x)=\left\{\begin{array}{ll}

-x, & \text { if } x<0 \\

x^{2}, & \text { if } 0 \leq x \leq 1 \\

1, & \text { if } x>1

\end{array}\right. Plot the function, and say whether it is Bijective function or not. Explain your answer. (c) The velocity of a particle moving along the r axis varies according to the expression v = 40 – 5ť2, where v½ is in meters per second and t is in seconds.

(d) An object moving with uniform acceleration has a velocity of 12 cm/s inthe positive x direction when its x coordinate is 3.00 cm. If its x coordinate2 seconds later is -5 cm, what is its acceleration?